Department of Differential Equations and Dynamical Systems, Southern Ural State University, Lenin avenue 76, 454080 Chelyabinsk, Russia
Abstract:
A connection between Wiener–Hopf factorizations of an analytic matrix function a(t) and fractional factorizations of the rational part of a−1(t) is obtained. The result is applied to an explicit construction of Wiener–Hopf factorizations of a(t).